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Finding the Third Proportional to 1,277,464 and 2,003,964

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Solution

The third proportional to 1,277,464 and 2,003,964 is: 3,143,628.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277,464 : 2,003,964 = 2,003,964 : x
  2. Step 2: Convert to fraction form
    1,277,464/2,003,964 = 2,003,964/x
  3. Step 3: Cross multiply
    1,277,464x = 2,003,964 × 2,003,964
  4. Step 4: Simplify right side
    1,277,464x = 4,015,871,713,296
  5. Step 5: Solve for x
    x = 4,015,871,713,296/1,277,464
  6. Step 6: Final answer
    x = 3,143,628.09

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.